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lisabon 2012 [21]
3 years ago
13

Martha bought new fish for her home aquarium. She Bought 3 guppies and 2 platies for a total of 13.95.Find the price of a guppy

and price of a platy
Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0
Bought the same number of Guppies and only Hank bought 2 additional Platies. Thus, let’s subtract the total of Hank and Martha
=> 18.33 – 13. 95 = 4.38
Thus, Hank paid an additional of 4.34 for 2 platies. Let’s divide to get the price of platies
=> 4.34 / 2 = = 2.19 (price of platies each.)
Let’s solve for price of guppies
=> 13.95 – 4.34 = 9.61
=> 9.61 / 3 = 3.20 (Price of guppies each.)
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What is the solution to the following equation?<br><br> 5(2x –6) + 20 = 10
Igoryamba

Answer:

Step-by-step explanation:

Simplifying

5(2x + -6) + 20 = 10

Reorder the terms:

5(-6 + 2x) + 20 = 10

(-6 * 5 + 2x * 5) + 20 = 10

(-30 + 10x) + 20 = 10

Reorder the terms:

-30 + 20 + 10x = 10

Combine like terms: -30 + 20 = -10

-10 + 10x = 10

Solving

-10 + 10x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 10x = 10 + 10

Combine like terms: -10 + 10 = 0

0 + 10x = 10 + 10

10x = 10 + 10

Combine like terms: 10 + 10 = 20

10x = 20

Divide each side by '10'.

x = 2

Simplifying

x = 2

3 0
3 years ago
Read 2 more answers
Write the equation of the line in slope intercept form that passes through (10,21) and (15,36)
Tema [17]

Answer:

y = 3x - 9

Step-by-step explanation:

First, find the slope using rise/run (y2 - y1) / (x2 - x1)

Plug in the points:

(36 - 21) / (15 - 10)

15/5

= 3

Next, plug the slope and a point into the equation y = mx + b to find b (y-int)

y = mx + b

21 = 3(10) + b

21 = 30 + b

-9 = b

Then, plug this into the equation, as well as the slope:

y = 3x - 9

6 0
3 years ago
100 POINTS IF YOU ANSWER CORRECTLY Rotate these coordinates 180 around the origin and then translate 6 units to the left.
snow_tiger [21]
Original Coordinates: (-2, -8) (-6, -8) (-11, -1) (-7, -3)

A 180 degree rotation around the origin flips the signs of x and y, so you get:

(2, 8) (6, 8) (11, 1) (7, 3)

Then a translation to the left 6 units just subtracts 6 from all the x values:

(-4, 8) (0, 8) (5, 1) (1, 3)

Those are your points! Hope this helped!
8 0
4 years ago
Read 2 more answers
In class, Julie was asked to create a scenario for the linear function shown. She came up with the following: .Joe planned a hik
Law Incorporation [45]

Answer:

1. Julie’s scenario doesn't match the linear function graphed, because the graphed function is f(x)=-3x+12 and must be f(x)=-5x+12

2. She has counted the slope of the line incorrect.

3. She can write f(x)=-5x+12 and draw the line with the x-intercept will be at (2.4,0) and y-intercpt ar (0,12).

Step-by-step explanation:

If Joe parked 12 miles away from the cabin and after one hour, he was still 7 miles from the cabin, then he had walked 12 - 7 = 5 miles per hour.

The initial positon of Joe is at point (0,12) (after 0 hours passed, Joe was 12 miles from the cabin). The line must pas through the point (1,7) ( after one hour, he was still 7 miles from the cabin ).

Find the slope:

\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{7-12}{1-0}=-5

So, the slope of the linear function should be -5 (not -3).

Then the equation of the function is

f(x)=-5x+12

1. Julie’s scenario doesn't match the linear function graphed, because the graphed function is f(x)=-3x+12 and must be f(x)=-5x+12

2. She has counted the slope of the line incorrect.

3. She can write f(x)=-5x+12 and draw the line with the x-intercept will be at (2.4,0) and y-intercpt ar (0,12).

5 0
4 years ago
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rewona [7]

Answer:

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Step-by-step explanation:

Note that \frac{dy}{dx} = m_{tangent}

Differentiate using the power rule

\frac{d}{dx}(ax^{n}) = nax^{n-1}

Given

y = x\sqrt{x} = x. x^{\frac{1}{2} } = x^{\frac{3}{2} }, then

\frac{dy}{dx} = \frac{3}{2}x^{\frac{1}{2} }

When x = 1

\frac{dy}{dx} = \frac{3}{2} . 1 = \frac{3}{2}

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \frac{3}{2} and (a, b) = (1, 5), thus

y - 5 = \frac{3}{2}(x - 1) ← equation of tangent

3 0
3 years ago
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